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Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
\begin{cases} -3x+3y=9 \\\\ 2x-7y=-14 \end{cases}
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⎪
⎪
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⎪
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−3x+3y=9
2x−7y=−14
​

Choose 1 answer:
Choose 1 answer:

(Choice A)
A
x= -1\dfrac25, y=2\dfrac35x=−1
5
2
​
,y=2
5
3
​
x, equals, minus, 1, start fraction, 2, divided by, 5, end fraction, comma, y, equals, 2, start fraction, 3, divided by, 5, end fraction

(Choice B)
B
x= -1\dfrac25, y=1\dfrac35x=−1
5
2
​
,y=1
5
3
​
x, equals, minus, 1, start fraction, 2, divided by, 5, end fraction, comma, y, equals, 1, start fraction, 3, divided by, 5, end fraction

(Choice C)
C
x= -2\dfrac25, y=2\dfrac35x=−2
5
2
​
,y=2
5
3
​
x, equals, minus, 2, start fraction, 2, divided by, 5, end fraction, comma, y, equals, 2, start fraction, 3, divided by, 5, end fraction

(Choice D)
D
x= -2\dfrac25, y=1\dfrac35x=−2
5
2
​
,y=1
5
3
​
x, equals, minus, 2, start fraction, 2, divided by, 5, end fraction, comma, y, equals, 1, start fraction, 3, divided by, 5, end fraction

Sagot :

MrRoyal

The solution to the system of equations is x = -1.4 and y = 1.6

How to estimate the solution?

The system of equations is given as:

-3x + 3y = 9

2x - 7y = -14

Divide the first equation by  3

-x + y = 3

Make y the subject

y = 3 + x

Substitute y = 3 + x in 2x - 7y = -14

2x - 7(3 + x) = -14

Expand

2x - 21 - 7x = -14

Evaluate the like terms

-5x = 7

Divide by -5

x = -1.4

Substitute x = -1.4 in y = 3 + x

y = 3 - 1.4

Evaluate

y = 1.6

Hence, the solution to the system of equations is x = -1.4 and y = 1.6

Read more about system of equations at:

https://brainly.com/question/14323743

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Answer:

Question:

Estimate the solution to the system of equations.

You can use the interactive graph below to find the solution.

⎪y=−2x−5

⎨y=2x−2

ANSWER:

CORRECT (SELECTED)

x= -3/4

y= -3 1/2

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